Operator \((p,\eta)\)-convexity and some classical inequalities

DOI10.1155/2020/1235842zbMath1493.47022OpenAlexW3039503145MaRDI QIDQ2194649

Naqash Shoukat, Waqas Nazeer, Muhammad Shoaib Saleem, Yongsheng Rao, Chuanjun Zhang

Publication date: 7 September 2020

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/1235842

zbMATH Keywords

Hermite-Hadamard inequalitiesoperator \((p,\eta)\)-convex functionsoperator \((p,\eta)\)-convexity

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for generalized fractional integrals
• Fejér-type inequalities. I.
• Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces
• Contractibility and generalized convexity
• Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions
• Properties of \(h\)-convex functions related to the Hermite-Hadamard-Fejér inequalities
• Convex functions, partial orderings, and statistical applications
• Bounds of Riemann-Liouville fractional integrals in general form via convex functions and their applications
• On some inequalities for \(h\)-concave functions
• Hermite-Hadamard-type inequalities for functions whose derivatives are \(\eta\)-convex via fractional integrals
• Trapezoidal type inequalities related to \(h\)-convex functions with applications
• On some Hermite-Hadamard-Fejér inequalities for (k,h)-convex functions
• ON SOME NEW INEQUALITIES OF HERMITE-HADAMARD-FEJÉR TYPE INVOLVING CONVEX FUNCTIONS
• Some inequalities for operator (p, h)-convex functions
• A generalized Fejér-Hadamard inequality for harmonically convex functions via generalized fractional integral operator and related results

This page was built for publication: Operator \((p,\eta)\)-convexity and some classical inequalities